455838720 has 176 divisors, whose sum is σ = 1485630720. Its totient is φ = 119259136.

The previous prime is 455838707. The next prime is 455838737. The reversal of 455838720 is 27838554.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905989 + ... + 906491.

Almost surely, 2^455838720 is an apocalyptic number.

455838720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742815360).

455838720 is an abundant number, since it is smaller than the sum of its proper divisors (1029792000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455838720 is a wasteful number, since it uses less digits than its factorization.

455838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 455838720 is about 21350.3798561056. The cubic root of 455838720 is about 769.6094719494.

The spelling of 455838720 in words is "four hundred fifty-five million, eight hundred thirty-eight thousand, seven hundred twenty".